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Finding the Fourth Proportional to 298,407, 411,801.66 and 164,271

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Solution

The fourth proportional to 298,407, 411,801.66 and 164,271 is: 226,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,407 : 411,801.66 = 164,271 : x
  2. Step 2: Convert to fraction form
    298,407/411,801.66 = 164,271/x
  3. Step 3: Cross multiply
    298,407x = 411,801.66 × 164,271
  4. Step 4: Simplify right side
    298,407x = 67,647,070,489.86
  5. Step 5: Solve for x
    x = 67,647,070,489.86/298,407
  6. Step 6: Final answer
    x = 226,693.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.